Page 122 - Distillation theory
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P1: FCH/FFX  P2: FCH/FFX  QC: FCH/FFX  T1: FCH
            0521832772c04  CB644-Petlyuk-v1                                                      June 11, 2004  17:49





                        96     Trajectories of Thermodynamically Reversible Distillation

                                         2                                     2
                                     α                                     α
                                      23
                                                                            23
                                a)                                    b)

                                               x B
                                                                                      x B
                                        α 13                                  α 13
                               1                 α 23  4             1                 α 23  4
                                  α                           2         α              α
                                   23            α 13                    23             13
                                    13                   α                13
                                                          23
                                         3          c)                         3


                                                             α
                                                              13      α
                                                   1                   23  4
                                                     α 23
                                                                      α
                                                        13             23
                                                              3
                               Figure 4.16. Bundles of sharp reversible stripping trajectories in region reversible
                               distillation Reg 1 rev,s  for the acetone(1)-benzene(2)-chloroform(3)-toluene(4) mixture:
                               (a) node is component 1, (b) node is azeotrope 13, and (c) nodes are component 1 and
                               azeotrope 13.

                               in face 2-3-4 is shown in Fig. 4.15d, and trajectory bundles of reversible distillation
                               Reg 1  are shown in Fig. 4.16. If the feed point is located at the intersection of true
                                  rev,s
                               trajectorybundlesofreversibledistillationofthesections x F ∈ (Reg 4 rev,r  • Reg 1 rev,s ),
                               then sharp reversible distillation in a two-section column is feasible according to
                               thesplit1,2,3:2,3,4(Thereversibledistillationcolumntrajectorymaybebrieflyde-
                                                 (3)      t(3)      (4)       t(3)      (3)
                                                x    → x rev,r  →  x     ← x rev,s  ← x
                               scribed as follows:  D      t        F          t        B  ; Fig. 4.17).
                                               Reg     Reg       Reg        Reg       Reg
                                                   D       rev,r     rev,rs    rev,s     B
                               The above-described way of definition of the possible composition region con-
                               tour in face 2-3-4 has the most general nature. It can be applied for any (n − 1)-
                               component boundary elements of the concentration simplex of n-component mix-


                                          2

                                      α 23

                                               x B
                                                           Figure 4.17. Reversible section trajectories of acetone
                                    x  t                   (1)-benzene(2)-chloroform(3)-toluene(4) mixture for
                                     rev      t
                                              x rev
                                                           two-section column (split 1,2,3 : 2,3,4); region of possible
                                           α                        1
                                  x D
                                            13  α 23       bottom Reg is shaded.
                                                                    B
                               1                        4         2,3,4
                                  α                α
                                   23               13
                                     13
                                           3
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